122111413020 has 288 divisors, whose sum is σ = 395154789120. Its totient is φ = 30464501760.

The previous prime is 122111413019. The next prime is 122111413069. The reversal of 122111413020 is 20314111221.

122111413020 is a `hidden beast` number, since 1 + 221 + 1 + 141 + 302 + 0 = 666.

It is a super-2 number, since 2×122111413020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122111412984 and 122111413002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52339774 + ... + 52342106.

It is an arithmetic number, because the mean of its divisors is an integer number (1372065240).

Almost surely, 2^122111413020 is an apocalyptic number.

122111413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197577394560).

122111413020 is an abundant number, since it is smaller than the sum of its proper divisors (273043376100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111413020 is a wasteful number, since it uses less digits than its factorization.

122111413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122111413020 its reverse (20314111221), we get a palindrome (142425524241).

The spelling of 122111413020 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred thirteen thousand, twenty".